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Finding the Fourth Proportional to 9,774.71, 13,489.31 and 5,525.52

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Solution

The fourth proportional to 9,774.71, 13,489.31 and 5,525.52 is: 7,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.71 : 13,489.31 = 5,525.52 : x
  2. Step 2: Convert to fraction form
    9,774.71/13,489.31 = 5,525.52/x
  3. Step 3: Cross multiply
    9,774.71x = 13,489.31 × 5,525.52
  4. Step 4: Simplify right side
    9,774.71x = 74,535,452.19
  5. Step 5: Solve for x
    x = 74,535,452.19/9,774.71
  6. Step 6: Final answer
    x = 7,625.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.